Finding the Fourth Proportional to 854,936,261.75, 1,283,233,658.83 and 412,590,239.14
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Solution
The fourth proportional to 854,936,261.75, 1,283,233,658.83 and 412,590,239.14 is: 619,285,560.64
Step by Step Solution
- Step 1: Write the proportion equation
854,936,261.75 : 1,283,233,658.83 = 412,590,239.14 : x - Step 2: Convert to fraction form
854,936,261.75/1,283,233,658.83 = 412,590,239.14/x - Step 3: Cross multiply
854,936,261.75x = 1,283,233,658.83 × 412,590,239.14 - Step 4: Simplify right side
854,936,261.75x = 529,449,682,169,166,848 - Step 5: Solve for x
x = 529,449,682,169,166,848/854,936,261.75 - Step 6: Final answer
x = 619,285,560.64
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.